Horizontal diffusion

from datetime import datetime, timedelta
from opendrift.readers import reader_netCDF_CF_generic
from opendrift.models.oceandrift import OceanDrift

lon = 4.5; lat = 60.0; # Outside Bergen

o = OceanDrift(loglevel=20)  # Set loglevel to 0 for debug information

13:05:14 INFO    opendrift.models.basemodel:515: OpenDriftSimulation initialised (version 1.11.13 / v1.11.13-99-gd2132d3)

Adding readers

# Arome atmospheric model
reader_arome = reader_netCDF_CF_generic.Reader(o.test_data_folder() + '16Nov2015_NorKyst_z_surface/arome_subset_16Nov2015.nc')
# Norkyst ocean model
reader_norkyst = reader_netCDF_CF_generic.Reader(o.test_data_folder() + '16Nov2015_NorKyst_z_surface/norkyst800_subset_16Nov2015.nc')
# Uncomment to use live data from thredds
#reader_arome = reader_netCDF_CF_generic.Reader('https://thredds.met.no/thredds/dodsC/mepslatest/meps_lagged_6_h_latest_2_5km_latest.nc')
#reader_norkyst = reader_netCDF_CF_generic.Reader('https://thredds.met.no/thredds/dodsC/sea/norkyst800m/1h/aggregate_be')

o.add_reader([reader_norkyst, reader_arome])

13:05:14 INFO    opendrift.readers.reader_netCDF_CF_generic:102: Opening dataset: /root/project/tests/test_data/16Nov2015_NorKyst_z_surface/arome_subset_16Nov2015.nc
/opt/conda/envs/opendrift/lib/python3.11/site-packages/pyproj/crs/crs.py:1286: UserWarning: You will likely lose important projection information when converting to a PROJ string from another format. See: https://proj.org/faq.html#what-is-the-best-format-for-describing-coordinate-reference-systems
  proj = self._crs.to_proj4(version=version)
13:05:14 INFO    opendrift.readers.reader_netCDF_CF_generic:325: Detected dimensions: {'time': 'time', 'x': 'x', 'y': 'y'}
13:05:14 INFO    opendrift.readers.reader_netCDF_CF_generic:102: Opening dataset: /root/project/tests/test_data/16Nov2015_NorKyst_z_surface/norkyst800_subset_16Nov2015.nc
/opt/conda/envs/opendrift/lib/python3.11/site-packages/pyproj/crs/crs.py:1286: UserWarning: You will likely lose important projection information when converting to a PROJ string from another format. See: https://proj.org/faq.html#what-is-the-best-format-for-describing-coordinate-reference-systems
  proj = self._crs.to_proj4(version=version)
13:05:14 INFO    opendrift.readers.reader_netCDF_CF_generic:325: Detected dimensions: {'x': 'X', 'y': 'Y', 'z': 'depth', 'time': 'time'}

First run, with no horizontal diffusion

o.set_config('drift:current_uncertainty', 0)
o.set_config('drift:wind_uncertainty', 0)
time = reader_arome.start_time
o.seed_elements(lon, lat, radius=500, number=2000, time=time)
o.run(duration=timedelta(hours=24))

13:05:14 INFO    opendrift.models.basemodel.environment:218: Adding a dynamical landmask with max. priority based on assumed maximum speed of 2.0 m/s. Adding a customised landmask may be faster...
13:05:18 INFO    opendrift.models.basemodel.environment:245: Fallback values will be used for the following variables which have no readers:
13:05:18 INFO    opendrift.models.basemodel.environment:248:    sea_surface_height: 0.000000
13:05:18 INFO    opendrift.models.basemodel.environment:248:    upward_sea_water_velocity: 0.000000
13:05:18 INFO    opendrift.models.basemodel.environment:248:    ocean_vertical_diffusivity: 0.000000
13:05:18 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wave_significant_height: 0.000000
13:05:18 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wave_stokes_drift_x_velocity: 0.000000
13:05:18 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wave_stokes_drift_y_velocity: 0.000000
13:05:18 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wave_period_at_variance_spectral_density_maximum: 0.000000
13:05:18 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wave_mean_period_from_variance_spectral_density_second_frequency_moment: 0.000000
13:05:18 INFO    opendrift.models.basemodel.environment:248:    sea_surface_swell_wave_to_direction: 0.000000
13:05:18 INFO    opendrift.models.basemodel.environment:248:    sea_surface_swell_wave_peak_period_from_variance_spectral_density: 0.000000
13:05:18 INFO    opendrift.models.basemodel.environment:248:    sea_surface_swell_wave_significant_height: 0.000000
13:05:18 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wind_wave_to_direction: 0.000000
13:05:18 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wind_wave_mean_period: 0.000000
13:05:18 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wind_wave_significant_height: 0.000000
13:05:18 INFO    opendrift.models.basemodel.environment:248:    surface_downward_x_stress: 0.000000
13:05:18 INFO    opendrift.models.basemodel.environment:248:    surface_downward_y_stress: 0.000000
13:05:18 INFO    opendrift.models.basemodel.environment:248:    turbulent_kinetic_energy: 0.000000
13:05:18 INFO    opendrift.models.basemodel.environment:248:    turbulent_generic_length_scale: 0.000000
13:05:18 INFO    opendrift.models.basemodel.environment:248:    ocean_mixed_layer_thickness: 50.000000
13:05:18 INFO    opendrift.models.basemodel.environment:248:    sea_floor_depth_below_sea_level: 10000.000000
13:05:19 INFO    opendrift.models.basemodel:936: Using existing reader for land_binary_mask
13:05:19 INFO    opendrift.models.basemodel:947: All points are in ocean
13:05:19 INFO    opendrift.models.basemodel:2038: 2015-11-16 00:00:00 - step 1 of 24 - 2000 active elements (0 deactivated)
13:05:19 INFO    opendrift.models.basemodel:2038: 2015-11-16 01:00:00 - step 2 of 24 - 2000 active elements (0 deactivated)
13:05:19 INFO    opendrift.models.basemodel:2038: 2015-11-16 02:00:00 - step 3 of 24 - 2000 active elements (0 deactivated)
13:05:19 INFO    opendrift.models.basemodel:2038: 2015-11-16 03:00:00 - step 4 of 24 - 2000 active elements (0 deactivated)
13:05:19 INFO    opendrift.models.basemodel:2038: 2015-11-16 04:00:00 - step 5 of 24 - 2000 active elements (0 deactivated)
13:05:19 INFO    opendrift.models.basemodel:2038: 2015-11-16 05:00:00 - step 6 of 24 - 2000 active elements (0 deactivated)
13:05:19 INFO    opendrift.models.basemodel:2038: 2015-11-16 06:00:00 - step 7 of 24 - 2000 active elements (0 deactivated)
13:05:19 INFO    opendrift.models.basemodel:2038: 2015-11-16 07:00:00 - step 8 of 24 - 2000 active elements (0 deactivated)
13:05:19 INFO    opendrift.models.basemodel:2038: 2015-11-16 08:00:00 - step 9 of 24 - 2000 active elements (0 deactivated)
13:05:19 INFO    opendrift.models.basemodel:2038: 2015-11-16 09:00:00 - step 10 of 24 - 2000 active elements (0 deactivated)
13:05:19 INFO    opendrift.models.basemodel:2038: 2015-11-16 10:00:00 - step 11 of 24 - 2000 active elements (0 deactivated)
13:05:20 INFO    opendrift.models.basemodel:2038: 2015-11-16 11:00:00 - step 12 of 24 - 2000 active elements (0 deactivated)
13:05:20 INFO    opendrift.models.basemodel:2038: 2015-11-16 12:00:00 - step 13 of 24 - 2000 active elements (0 deactivated)
13:05:20 INFO    opendrift.models.basemodel:2038: 2015-11-16 13:00:00 - step 14 of 24 - 2000 active elements (0 deactivated)
13:05:20 INFO    opendrift.models.basemodel:2038: 2015-11-16 14:00:00 - step 15 of 24 - 2000 active elements (0 deactivated)
13:05:20 INFO    opendrift.models.basemodel:2038: 2015-11-16 15:00:00 - step 16 of 24 - 2000 active elements (0 deactivated)
13:05:20 INFO    opendrift.models.basemodel:2038: 2015-11-16 16:00:00 - step 17 of 24 - 2000 active elements (0 deactivated)
13:05:20 INFO    opendrift.models.basemodel:2038: 2015-11-16 17:00:00 - step 18 of 24 - 2000 active elements (0 deactivated)
13:05:20 INFO    opendrift.models.basemodel:2038: 2015-11-16 18:00:00 - step 19 of 24 - 2000 active elements (0 deactivated)
13:05:20 INFO    opendrift.models.basemodel:2038: 2015-11-16 19:00:00 - step 20 of 24 - 2000 active elements (0 deactivated)
13:05:20 INFO    opendrift.models.basemodel:2038: 2015-11-16 20:00:00 - step 21 of 24 - 2000 active elements (0 deactivated)
13:05:20 INFO    opendrift.models.basemodel:2038: 2015-11-16 21:00:00 - step 22 of 24 - 2000 active elements (0 deactivated)
13:05:20 INFO    opendrift.models.basemodel:2038: 2015-11-16 22:00:00 - step 23 of 24 - 2000 active elements (0 deactivated)
13:05:20 INFO    opendrift.models.basemodel:2038: 2015-11-16 23:00:00 - step 24 of 24 - 2000 active elements (0 deactivated)

Second run, identical, except for added diffusion

o2 = OceanDrift(loglevel=20)  # Set loglevel to 0 for debug information
o2.add_reader([reader_norkyst, reader_arome])
#o2.set_config('drift:current_uncertainty', .2) # Difference from first run
#o2.set_config('drift:wind_uncertainty', 1)     # Difference from first run
o2.set_config('drift:horizontal_diffusivity', 10)     # Difference from first run
o2.seed_elements(lon, lat, radius=500, number=2000, time=time)
o2.run(duration=timedelta(hours=24))

13:05:20 INFO    opendrift.models.basemodel:515: OpenDriftSimulation initialised (version 1.11.13 / v1.11.13-99-gd2132d3)
13:05:20 INFO    opendrift.models.basemodel.environment:218: Adding a dynamical landmask with max. priority based on assumed maximum speed of 2.0 m/s. Adding a customised landmask may be faster...
13:05:20 INFO    opendrift.models.basemodel.environment:245: Fallback values will be used for the following variables which have no readers:
13:05:20 INFO    opendrift.models.basemodel.environment:248:    sea_surface_height: 0.000000
13:05:20 INFO    opendrift.models.basemodel.environment:248:    upward_sea_water_velocity: 0.000000
13:05:20 INFO    opendrift.models.basemodel.environment:248:    ocean_vertical_diffusivity: 0.000000
13:05:20 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wave_significant_height: 0.000000
13:05:20 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wave_stokes_drift_x_velocity: 0.000000
13:05:20 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wave_stokes_drift_y_velocity: 0.000000
13:05:20 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wave_period_at_variance_spectral_density_maximum: 0.000000
13:05:20 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wave_mean_period_from_variance_spectral_density_second_frequency_moment: 0.000000
13:05:20 INFO    opendrift.models.basemodel.environment:248:    sea_surface_swell_wave_to_direction: 0.000000
13:05:20 INFO    opendrift.models.basemodel.environment:248:    sea_surface_swell_wave_peak_period_from_variance_spectral_density: 0.000000
13:05:20 INFO    opendrift.models.basemodel.environment:248:    sea_surface_swell_wave_significant_height: 0.000000
13:05:20 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wind_wave_to_direction: 0.000000
13:05:20 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wind_wave_mean_period: 0.000000
13:05:20 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wind_wave_significant_height: 0.000000
13:05:20 INFO    opendrift.models.basemodel.environment:248:    surface_downward_x_stress: 0.000000
13:05:20 INFO    opendrift.models.basemodel.environment:248:    surface_downward_y_stress: 0.000000
13:05:20 INFO    opendrift.models.basemodel.environment:248:    turbulent_kinetic_energy: 0.000000
13:05:20 INFO    opendrift.models.basemodel.environment:248:    turbulent_generic_length_scale: 0.000000
13:05:20 INFO    opendrift.models.basemodel.environment:248:    ocean_mixed_layer_thickness: 50.000000
13:05:20 INFO    opendrift.models.basemodel.environment:248:    sea_floor_depth_below_sea_level: 10000.000000
13:05:20 INFO    opendrift.models.basemodel:936: Using existing reader for land_binary_mask
13:05:20 INFO    opendrift.models.basemodel:947: All points are in ocean
13:05:20 INFO    opendrift.models.basemodel:2038: 2015-11-16 00:00:00 - step 1 of 24 - 2000 active elements (0 deactivated)
13:05:21 INFO    opendrift.models.basemodel:2038: 2015-11-16 01:00:00 - step 2 of 24 - 2000 active elements (0 deactivated)
13:05:21 INFO    opendrift.models.basemodel:2038: 2015-11-16 02:00:00 - step 3 of 24 - 2000 active elements (0 deactivated)
13:05:21 INFO    opendrift.models.basemodel:2038: 2015-11-16 03:00:00 - step 4 of 24 - 2000 active elements (0 deactivated)
13:05:21 INFO    opendrift.models.basemodel:2038: 2015-11-16 04:00:00 - step 5 of 24 - 2000 active elements (0 deactivated)
13:05:21 INFO    opendrift.models.basemodel:2038: 2015-11-16 05:00:00 - step 6 of 24 - 2000 active elements (0 deactivated)
13:05:21 INFO    opendrift.models.basemodel:2038: 2015-11-16 06:00:00 - step 7 of 24 - 2000 active elements (0 deactivated)
13:05:21 INFO    opendrift.models.basemodel:2038: 2015-11-16 07:00:00 - step 8 of 24 - 2000 active elements (0 deactivated)
13:05:21 INFO    opendrift.models.basemodel:2038: 2015-11-16 08:00:00 - step 9 of 24 - 2000 active elements (0 deactivated)
13:05:21 INFO    opendrift.models.basemodel:2038: 2015-11-16 09:00:00 - step 10 of 24 - 2000 active elements (0 deactivated)
13:05:21 INFO    opendrift.models.basemodel:2038: 2015-11-16 10:00:00 - step 11 of 24 - 2000 active elements (0 deactivated)
13:05:21 INFO    opendrift.models.basemodel:2038: 2015-11-16 11:00:00 - step 12 of 24 - 2000 active elements (0 deactivated)
13:05:21 INFO    opendrift.models.basemodel:2038: 2015-11-16 12:00:00 - step 13 of 24 - 2000 active elements (0 deactivated)
13:05:21 INFO    opendrift.models.basemodel:2038: 2015-11-16 13:00:00 - step 14 of 24 - 2000 active elements (0 deactivated)
13:05:21 INFO    opendrift.models.basemodel:2038: 2015-11-16 14:00:00 - step 15 of 24 - 2000 active elements (0 deactivated)
13:05:21 INFO    opendrift.models.basemodel:2038: 2015-11-16 15:00:00 - step 16 of 24 - 2000 active elements (0 deactivated)
13:05:21 INFO    opendrift.models.basemodel:2038: 2015-11-16 16:00:00 - step 17 of 24 - 2000 active elements (0 deactivated)
13:05:21 INFO    opendrift.models.basemodel:2038: 2015-11-16 17:00:00 - step 18 of 24 - 2000 active elements (0 deactivated)
13:05:21 INFO    opendrift.models.basemodel:2038: 2015-11-16 18:00:00 - step 19 of 24 - 2000 active elements (0 deactivated)
13:05:21 INFO    opendrift.models.basemodel:2038: 2015-11-16 19:00:00 - step 20 of 24 - 2000 active elements (0 deactivated)
13:05:21 INFO    opendrift.models.basemodel:2038: 2015-11-16 20:00:00 - step 21 of 24 - 2000 active elements (0 deactivated)
13:05:22 INFO    opendrift.models.basemodel:2038: 2015-11-16 21:00:00 - step 22 of 24 - 2000 active elements (0 deactivated)
13:05:22 INFO    opendrift.models.basemodel:2038: 2015-11-16 22:00:00 - step 23 of 24 - 2000 active elements (0 deactivated)
13:05:22 INFO    opendrift.models.basemodel:2038: 2015-11-16 23:00:00 - step 24 of 24 - 2000 active elements (0 deactivated)

Third run, identical, except for diffusion and shorter timestep

o3 = OceanDrift(loglevel=20)  # Set loglevel to 0 for debug information
o3.add_reader([reader_norkyst, reader_arome])
#o3.set_config('drift:current_uncertainty', .2) # Difference from first run
#o3.set_config('drift:wind_uncertainty', 1)     # Difference from first run
o3.set_config('drift:horizontal_diffusivity', 10)     # Difference from first run
o3.seed_elements(lon, lat, radius=500, number=2000, time=time)
o3.run(duration=timedelta(hours=24), time_step=300, time_step_output=3600)

13:05:22 INFO    opendrift.models.basemodel:515: OpenDriftSimulation initialised (version 1.11.13 / v1.11.13-99-gd2132d3)
13:05:22 INFO    opendrift.models.basemodel.environment:218: Adding a dynamical landmask with max. priority based on assumed maximum speed of 2.0 m/s. Adding a customised landmask may be faster...
13:05:22 INFO    opendrift.models.basemodel.environment:245: Fallback values will be used for the following variables which have no readers:
13:05:22 INFO    opendrift.models.basemodel.environment:248:    sea_surface_height: 0.000000
13:05:22 INFO    opendrift.models.basemodel.environment:248:    upward_sea_water_velocity: 0.000000
13:05:22 INFO    opendrift.models.basemodel.environment:248:    ocean_vertical_diffusivity: 0.000000
13:05:22 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wave_significant_height: 0.000000
13:05:22 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wave_stokes_drift_x_velocity: 0.000000
13:05:22 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wave_stokes_drift_y_velocity: 0.000000
13:05:22 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wave_period_at_variance_spectral_density_maximum: 0.000000
13:05:22 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wave_mean_period_from_variance_spectral_density_second_frequency_moment: 0.000000
13:05:22 INFO    opendrift.models.basemodel.environment:248:    sea_surface_swell_wave_to_direction: 0.000000
13:05:22 INFO    opendrift.models.basemodel.environment:248:    sea_surface_swell_wave_peak_period_from_variance_spectral_density: 0.000000
13:05:22 INFO    opendrift.models.basemodel.environment:248:    sea_surface_swell_wave_significant_height: 0.000000
13:05:22 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wind_wave_to_direction: 0.000000
13:05:22 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wind_wave_mean_period: 0.000000
13:05:22 INFO    opendrift.models.basemodel.environment:248:    sea_surface_wind_wave_significant_height: 0.000000
13:05:22 INFO    opendrift.models.basemodel.environment:248:    surface_downward_x_stress: 0.000000
13:05:22 INFO    opendrift.models.basemodel.environment:248:    surface_downward_y_stress: 0.000000
13:05:22 INFO    opendrift.models.basemodel.environment:248:    turbulent_kinetic_energy: 0.000000
13:05:22 INFO    opendrift.models.basemodel.environment:248:    turbulent_generic_length_scale: 0.000000
13:05:22 INFO    opendrift.models.basemodel.environment:248:    ocean_mixed_layer_thickness: 50.000000
13:05:22 INFO    opendrift.models.basemodel.environment:248:    sea_floor_depth_below_sea_level: 10000.000000
13:05:22 INFO    opendrift.models.basemodel:936: Using existing reader for land_binary_mask
13:05:22 INFO    opendrift.models.basemodel:947: All points are in ocean
13:05:22 INFO    opendrift.models.basemodel:2038: 2015-11-16 00:00:00 - step 1 of 288 - 2000 active elements (0 deactivated)
13:05:22 INFO    opendrift.models.basemodel:2038: 2015-11-16 00:05:00 - step 2 of 288 - 2000 active elements (0 deactivated)
13:05:22 INFO    opendrift.models.basemodel:2038: 2015-11-16 00:10:00 - step 3 of 288 - 2000 active elements (0 deactivated)
13:05:22 INFO    opendrift.models.basemodel:2038: 2015-11-16 00:15:00 - step 4 of 288 - 2000 active elements (0 deactivated)
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13:05:22 INFO    opendrift.models.basemodel:2038: 2015-11-16 00:35:00 - step 8 of 288 - 2000 active elements (0 deactivated)
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Comparing

o2.animation(compare=[o3, o], legend=['Diffusion, timstep 3600s', 'Diffusion, timestep 300s', 'No diffusion'],
             legend_loc='upper center', fast=True)

13:05:34 WARNING opendrift.models.basemodel:2411: Plotting fast. This will make your plots less accurate.
/opt/conda/envs/opendrift/lib/python3.11/site-packages/cartopy/mpl/geoaxes.py:1692: UserWarning: No data for colormapping provided via 'c'. Parameters 'cmap' will be ignored
  result = super().scatter(*args, **kwargs)
13:05:36 INFO    opendrift.models.basemodel:4613: Saving animation to /root/project/docs/source/gallery/animations/example_horizontal_diffusion_0.gif...
13:05:55 INFO    opendrift.models.basemodel:3037: Time to make animation: 0:00:21.429482